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Finding the Fourth Proportional to 209,403.74, 314,100.71 and 67,248.74

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Solution

The fourth proportional to 209,403.74, 314,100.71 and 67,248.74 is: 100,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,403.74 : 314,100.71 = 67,248.74 : x
  2. Step 2: Convert to fraction form
    209,403.74/314,100.71 = 67,248.74/x
  3. Step 3: Cross multiply
    209,403.74x = 314,100.71 × 67,248.74
  4. Step 4: Simplify right side
    209,403.74x = 21,122,876,980.61
  5. Step 5: Solve for x
    x = 21,122,876,980.61/209,403.74
  6. Step 6: Final answer
    x = 100,871.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.